lateralEarthPressures: Lateral Earth Pressures
In geotech: Geotechnical Engineering

Description Usage Arguments Details Value Author(s) References See Also Examples

These functions are used to calculate lateral earth pressure coefficients using different methods.

K(sigmax, sigmaz)
Ko(phi, OCR = 1)
Ka(phi, beta = 0)
Kp(phi, beta = 0)

`sigmax`	horizontal effective stress
`sigmaz`	vertical effective stress
`phi`	effective friction angle (deg)
`OCR`	overconsolidation ratio; default = 1
`beta`	angle of backfill (deg); default = 0

These functions either compute the lateral earth pressure coefficient from provided stresses (K), common empirical correlations (Ka), or basic lateral earth pressure theories (Kp).

For Ko, the Jaky (1944) equation is used for normally consolidated soil, and the Mayne and Kulhawy (1982) equation is used for overconsolidated soil.
For Ka and Kp, the basic Rankine (1857) theory is used. Note that this theory requires beta <= phi.

K = Coefficient of lateral earth pressure (directly from provided stresses)
Ko = Coefficient of lateral earth pressure at rest
Ka = Coefficient of lateral earth pressure (active)
Kp = Coefficient of lateral earth pressure (passive)

James Kaklamanos <kaklamanosj@merrimack.edu> and Kyle Elmy <ElmyK@merrimack.edu>

Jaky, J. (1944). "The Coefficient of Earth Pressure at Rest", Journal for the Society of Hungarian Architects and Engineers, October, pp. 355-358.

Mayne, P.W., and Kulhawy, F.H. (1982). "Ko-OCR Relationships in Soil", Journal of the Geotechnical Engineering Division, ASCE, Vol. 108, No. GT6, pp. 851-872.

Rankine, W.J.M. (1857). "On the Stability of Loose Earth", Philosophical Transactions of the Royal Society, Vol. 147, London.

stressHorizontal

##  Example code for Coefficient of lateral earth pressure
K(sigmax = 50, sigmaz = 90)

##  Example code for Coefficient of lateral earth pressure at rest
Ko(phi = 20, OCR = 1)

##  Example code for Coefficient of lateral earth pressure (active)
Ka(phi = 30, beta = 10)

##  Example code for Coefficient of lateral earth pressure (passive)
Kp(phi = 30, beta = 10)